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Finding the Fourth Proportional to 5,426.86, 8,140.83 and 2,506

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Solution

The fourth proportional to 5,426.86, 8,140.83 and 2,506 is: 3,759.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,426.86 : 8,140.83 = 2,506 : x
  2. Step 2: Convert to fraction form
    5,426.86/8,140.83 = 2,506/x
  3. Step 3: Cross multiply
    5,426.86x = 8,140.83 × 2,506
  4. Step 4: Simplify right side
    5,426.86x = 20,400,919.98
  5. Step 5: Solve for x
    x = 20,400,919.98/5,426.86
  6. Step 6: Final answer
    x = 3,759.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.